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Finding the Fourth Proportional to 14,353.38, 19,809.52 and 8,065.75

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Solution

The fourth proportional to 14,353.38, 19,809.52 and 8,065.75 is: 11,131.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,353.38 : 19,809.52 = 8,065.75 : x
  2. Step 2: Convert to fraction form
    14,353.38/19,809.52 = 8,065.75/x
  3. Step 3: Cross multiply
    14,353.38x = 19,809.52 × 8,065.75
  4. Step 4: Simplify right side
    14,353.38x = 159,778,595.61
  5. Step 5: Solve for x
    x = 159,778,595.61/14,353.38
  6. Step 6: Final answer
    x = 11,131.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.